EXISTENCE OF SQUARE-MEAN s-ASYMPTOTICALLY ω -PERIODIC SOLUTIONS TO SOME STOCHASTIC DIFFERENTIAL EQUATIONS

This paper is concerned with the existence of square-mean s-asymptotically ω -periodic mild solutions to some stochastic differential equations in a real separable Hilbert space. By using the new theorem of square-mean s-asymptotically ω -periodicity for stochastic process and Banach fixed point theorem, we obtain the existence and uniqueness of square-mean s-asymptotically ω -periodic mild solutions to the equations. To illustrate the abstract result, a concrete example is given.